Delay-dependent dissipative control for stochastic singular systems with state delay

• Autorzy: Ding C. , Li Q.
• Języki publikacji: EN

Abstrakty

EN

The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.

Słowa kluczowe

EN

stochastic singular system; dissipative control; delay-dependent; state delay; linear matrix inequalities (LMIs)

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2013
• Tom: Vol. 23, no. 3
• Strony: 281--293
• Opis fizyczny: Bibliogr. 13 poz., wzory

Twórcy

autor

Ding C.

• Yantai Engineering & Technology College, Yantai, China

autor

Li Q.

• School of Mathematics & Information Science, Yantai University, Yantai, China

Bibliografia

• [1] M. S. Mahmoud: Delay-dependent dissipativity of singular time-delay systems. IMA J. of Mathematical Control and Information, 26(1), (2009), 45-58.
• [2] C. Li and X. Liao: Passivity analysis of neural networks with time delay. IEEETrans. on Circuits and Systems, 52(8), (2005), 471-475.
• [3] E. K. Boukas, S. Xu and J. Lam: On stability and stabilizability of singular stochastic systems with delays. J. of Optimization Theory and Applications, 127(2), (2005), 249-262.
• [4] M. Hua, F. Deng and Y. Peng: Robust delay-dependent exponential stability of uncertain stochastic system with time-varying delay. Circuits Systems and SignalProcess, 29(3), (2010), 515-526.
• [5] Z. J. Wu, M.Y. Cui, X. J. Xie and P. Shi: Theory of stochastic dissipative systems. IEEE Trans. on Automatic Control, 56(7), (2011), 1650-1655.
• [6] W. Li, X. Xie and S. Zhang: Output-feedback stabilization of stochastic highorder nonlinear systems under weaker conditions. SIAM J. on Control and Optimization, 49(3), (2011), 1262-1282.
• [7] J. Raouf and E. K. Boukas: Roubst stabilization of Markovian jump linear singualr systems with Wiener process. In Proc. of the 2004 American Control Conf., 4 (2004), 3170-3175.
• [8] L. Huang and X. Mao: Stability of singular stochastic systems with Markovian switching. IEEE Trans. on Automatic Control, 56(2), (2011), 424-429.
• [9] J.W. Xia: The robust H∞ filter design for uncertain time-delay singular stochastic systems with Markovian jump. J. of Control Theory and Applications, 5(1), (2007), 331-335.
• [10] S. Boyd, L. E. et al.; Linear Matrix Inequalities in Syetem and Control Theory, Philadelphia, PA: SIAM, 1994.
• [11] L. Xie, M. Y. Fu and C. E. De Souza: H∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback. IEEE Trans. on AutomaticControl, 37(8), (1992), 1253-1256.
• [12] K. Q. Gu, V. L. Kharitonov and J. Chen: Stability of Time-delay Systems. Birkhäuser, Boston, 2003.
• [13] V. B. Kolmanovskii and A. D. Myshkis: Applied Theory of Functional Differential Equations. Dordreclu, The Netherlands, Kluwer, 1992.